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Re: LF: Question about ground impedance at 8.97 KHZ Stefan.

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Subject: Re: LF: Question about ground impedance at 8.97 KHZ Stefan.
From: "James Moritz" <[email protected]>
Date: Sat, 27 Mar 2010 12:06:27 -0000
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Dear Paul, LF Group,

For Stefan's benefit, 1' = 0.3048m, so we are talking about a 52m long wire.

I measured my home QTH inv-L antenna (about 55m of wire in total, about 10m height) at 10kHz to have a capacitance of about 340pF, in series with a resistance of about 300ohms. This is in a location with several small trees, etc., so you could possibly expect lower resistance in an open location, or higher if you are in a forest!

As has been pointed out, it depends on the type of bridge whether you are measuring a series or parallel RC equivalent - for the above antenna, the parallel equivalent would be about 340pF/7.3Megohms. The magnitude of the impedance at 9kHz would be about 52kohms

These are much higher impedances than are commonly measured using amateur RF bridges. If you look at old textbooks on AC bridge measurements, you will see elaborate shielding/guarding measures are often required for high impedance measurements. The basic problem is you are trying to measure a small resistance component while balancing out a much larger, quadrature, capacitive component. So anything that affects the balance of the bridge (e.g. stray coupling between the components, or source or detector), can cause large errors. I imagine good electrostatic shielding between the bridge components and antenna wire would be essential. A first step would be to check the bridge works accurately on some known impedances (e.g. a low-loss capacitor of a few 100pF with a series resistor).

The way I did my measurements was to resonate the antenna at the measurement frequency with a series inductor, then measure the relatively low resistive impedance of the combination with a simple resistance bridge. The loss resistance of the coil was measured by replacing the antenna with a calibrated air-variable capacitor, measuring the resistance again, and subtracting it from the antenna+coil resistance. This still has some potential errors (e.g. due to the stray capacitance of the inductor to ground) but avoids the need to resolve the R/C components, and reflects the way the antenna will actually be used.

Cheers, Jim Moritz
73 de M0BMU




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